square root of 27 a^2b^3c^5

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square root of 27 a^2b^3c^5

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\sqrt{27a ^{2}b ^{3}c ^{5}}\]
3abc^2sqrt(3bc)
27 = 3 times 3 times 3 = 3^2 times 3 b^3 = b^2 times b c^5 = c^2 times c^2 times c

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I know the answer I need an explanation
so if you do sqrt (27) that is sqrt(3^3 times3) = 3sqrt3 similarly the others too follow the same pattern
i meant sqrt(3^2 times3)
ok im clear there what about the variables
same thing. sqrt (a^2) = a sqrt(b^3) = b sqrt(b) sqrt(c^5) = c^2 sqrt(c)
what is confusing me is the c^5 i see that c^2c^2 c = c^5
yes c^2*c^2 = (c^2)^2
so c^5 = (c^2)^2 times c
ohhhhhhhhhhhhh your the best thanks so much
you are welcome.
for example, 16 = 4^2 but 4 = 2^2 so 4^2 = (2^2)^2 so sqrt 16 = sqrt(4^2) = sqrt (2^2)^2 = 2^2 = 4.

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